How to explain Earth-like gravity in small asteroids?

I'm working on a sci-fi game about conquering little asteroids (about 1 km diameter). You can go into one of them and make it Earth-like so other humans, animals or plants can live there.

To do this I need asteroids to have Earth-like gravity, but I'm having a hard time trying to come up with a solution that wouldn't make asteroids collapse. I thought about digging a hole through the center of the rock and placing there some kind of "crazy matter", but I think this is too far-fetched even for a sci-fi game.

Edit: I didn't state it explicitly, but gravity must be provided by some hi-tech device the player must own.

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How to explain Earth-like gravity in small asteroids?

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